The generator matrix

 1  0  0  0  1  1  1  2  1  1  2  1  0  0  1  1  2  1  0  0  1  1  1  2  0  1  1  2  1  1  0  0  1  2  1  1  2  0  1  1  1  1  0  1  1  1  2  2  2  1  1  0  0  1  1  1  2  0  1  1  0
 0  1  0  0  0  0  0  0  1  3  1  1  1  1  3  2  1  1  1  2  1  0  2  1  2  1  1  0  2  1  1  1  3  2  2  0  1  2  2  3  1  1  1  3  2  3  2  1  1  1  1  1  2  2  0  3  2  2  1  3  0
 0  0  1  0  0  1  3  1  1  1  2  2  1  3  2  2  0  2  2  0  3  3  1  3  1  1  0  1  2  2  1  2  1  1  1  1  0  1  3  0  0  3  0  3  3  3  1  3  3  1  0  2  1  0  2  0  1  1  1  3  1
 0  0  0  1  1  3  0  1  2  1  3  1  3  2  2  0  0  3  1  1  0  2  3  2  0  1  3  3  1  2  1  3  0  3  1  3  2  1  2  3  2  1  0  0  1  3  3  3  3  0  2  2  0  1  3  0  2  2  3  2  2
 0  0  0  0  2  2  2  0  2  2  0  2  0  0  2  2  0  2  0  2  0  0  0  2  2  0  0  2  0  0  2  2  0  2  2  0  2  0  0  0  0  2  2  2  2  0  0  0  2  0  2  2  0  0  2  2  2  0  2  2  2

generates a code of length 61 over Z4 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+94x^56+116x^58+95x^60+86x^62+32x^64+18x^66+19x^68+22x^70+13x^72+10x^74+2x^76+4x^78

The gray image is a code over GF(2) with n=122, k=9 and d=56.
This code was found by Heurico 1.16 in 0.0662 seconds.